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Finding the Third Proportional to 7,316 and 9,564

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Solution

The third proportional to 7,316 and 9,564 is: 12,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316 : 9,564 = 9,564 : x
  2. Step 2: Convert to fraction form
    7,316/9,564 = 9,564/x
  3. Step 3: Cross multiply
    7,316x = 9,564 × 9,564
  4. Step 4: Simplify right side
    7,316x = 91,470,096
  5. Step 5: Solve for x
    x = 91,470,096/7,316
  6. Step 6: Final answer
    x = 12,502.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.